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International Journal of Mathematical Education in Science and Technology Volume 40, 2009 - Issue 6
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Classroom Notes

Golden proportions for the generalized Tribonacci numbers

Devbhadra V. Shah Department of Mathematics, Sir P.T. Sarvajanik College of Science, Athwalines, Surat–395001, IndiaCorrespondence[email protected]
&
Darshana A. Mehta Department of Mathematics, Sir P.T. Sarvajanik College of Science, Athwalines, Surat–395001, India
Pages 837-842 | Received 29 Oct 2008, Published online: 04 Aug 2009
 
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Abstract

It is known that the ratios of consecutive terms of Fibonacci and Tribonacci sequences converge to the fixed ratio. In this article, we consider the generalized form of Tribonacci numbers and derive the ‘golden proportion’ for the whole family of this generalized sequence.

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